{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python_defaultSpec_1600942322719",
   "display_name": "Python 3.7.4 64-bit ('base': conda)"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "source": [
    "# OvR 和 OvO"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:,:2]\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n                   intercept_scaling=1, l1_ratio=None, max_iter=100,\n                   multi_class='warn', n_jobs=None, penalty='l2',\n                   random_state=None, solver='warn', tol=0.0001, verbose=0,\n                   warm_start=False)"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "log_reg = LogisticRegression()\n",
    "log_reg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.6578947368421053"
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "source": [
    "log_reg.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_decision_boundary(model, axis):\n",
    "\n",
    "    x0, x1 = np.meshgrid(\n",
    "        np.linspace(axis[0], axis[1], int((axis[1]-axis[0])*100)).reshape(-1,1),\n",
    "        np.linspace(axis[2], axis[3], int((axis[3]-axis[2])*100)).reshape(-1,1)\n",
    "        )\n",
    "\n",
    "    X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "\n",
    "    y_predict = model.predict(X_new)\n",
    "    zz = y_predict.reshape(x0.shape)\n",
    "\n",
    "    from matplotlib.colors import ListedColormap\n",
    "    custom_cmap = ListedColormap(['#EF9A9A', '#FFF59D','#90CAF9'])\n",
    "\n",
    "    plt.contourf(x0, x1, zz, linewidth=5, cmap=custom_cmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plot_decision_boundary(log_reg, axis=[4,8.5,1.5,4.5])\n",
    "plt.scatter(X[y==0,0], X[y==0,1])\n",
    "plt.scatter(X[y==1,0], X[y==1,1])\n",
    "plt.scatter(X[y==2,0], X[y==2,1])\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "## OvO"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "log_reg2 = LogisticRegression(multi_class=\"multinomial\", solver=\"newton-cg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n                   intercept_scaling=1, l1_ratio=None, max_iter=100,\n                   multi_class='multinomial', n_jobs=None, penalty='l2',\n                   random_state=None, solver='newton-cg', tol=0.0001, verbose=0,\n                   warm_start=False)"
     },
     "metadata": {},
     "execution_count": 9
    }
   ],
   "source": [
    "log_reg2.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.7894736842105263"
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "source": [
    "log_reg2.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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l1XfMvnt55jHMRhMHr2DX3gfxqZfYNe8IJg5eMd3so8Yuxxl64mPcVnmMicFBFu3bx3kDJzO19HvT66OOveflW3h97xYAXt+7hT0v3zI90jnUGGkpjlJc0kmiHo/cMjWEY9PxyHWTw4n2vWbrAm6aHKGCAUYF46bJEa7ZuiD8N9UDeR6PkMalnXpUcefUBODTUcWnt92Z6LhDT3yM7/AEW4aGcDO2DA3xHZ5g6ImPxe77xL/9Kfe/uZGKGZhRMeP+NzfyxL/9aaKapH+o4ccoYqQzpGA3ZgsmVFTxtspj7Blo+JkZGOC2ymOx+z745kawhp8ps+pyEdTwY4WKdLaKbuZ5CG6RGn3os/xQUcWJwRY/My2Wz1TEnylJlxp+jCJGOkMoUrOvCzpcLVBUcdG+Fj8zLZbPVLSfKUmffhZiFDHS2Uu6hNNcqKjieQMnM6/S8DNTqXDewMmx+6446FRoHIboXl0ughp+rCSjiKP2veLwHVw0uosBHHAGcC7q4eC1XuiHRh/qLP/4sbP4vSM/y/yhRYAxf2gRv3fkZxMnWaaWfo9LWcqRU1OYO0dOTXEpS2eldFpZesI3Oe2gUxlwB3cG3DntoFNZesI3E9Uk/SM2lmlm84BfAnNr26919881bDMX+C5wKvAK8BF3f7bn1caIikAmmTyZJB758O45vFQbw/DS1CAP754zfaxlw3v51e59TEwNcsTQPpYNz54Xk8W0zDm7NjJv8k4G922Dr3c4lfJnN8Gj94NXwAbgPafBBy/avz7BxMs71q9jzfPjTAwYiyrO6mNO5OzTq2+8uuO5cdY8cR8Tr0+y6C2jrF66krPfduL0fj9+7stNJ1omFRVVXPfMn/Pi7genHx81vIJVx31t+nHU5MptI8dTmXwSgAqDbBs5nvkzjh01uXLpCd9kaZffT7dTOEPKY01FFjsP38wMGHH3nWY2B/gVsNrd75+xzV8AJ7v7J8zsYuC/uPtHoo7b63n4jdMloXr55MrDtgO0XBeygdajl7PTONUz+WXDeyNrivp+QtU8Z9dGRnaunT2obGgOfOgP4hvzz26CR9YfuPyU06tNv3HiZQfHvmP9Oq7aND4rvTKvUuGqo0+Excdx1cZfsGff1P51g0NcdeqZ8MIzTfYL/0Emjc2+rt703/HC2lmTK6H6rtdf/M6XeejNJ6tTOGcMZptZc+PkSqheSkr620XUcYEgz1nEmvIgyTz82Es6XrWz9nBO7U/jvxLnATfUvl4LfKD2D0VqoiKQWU2ejIpextWURc0jlZ92P5Xy0fujlyeYeLnm+fGmUcU1z1fP7Gc2e4A9+6ZY88R9LfarTrQMqVmzn7k8anJl1BROCBcH7XYKZ0h5rKno2rqGb2aDZvYIsBX4ubs/0LDJYmATgLtPAduBtzY5zmVmtsHMNvx2srczYaIikFlNnoyKycXVlHbNY5cMJptK6S2+2/ryBMeeGGh+7jAxYEy83vznaOL1yZb7tZp0mZaoyZVRUzghXBw06rhZTcvMY01F11bDd/d97n4KsARYYWaNlwmb/c064FqRu1/v7svdffmho709U42KQGY1eTIqJhdXU1o1z0rhtDGVsiVr8d3Wlyc49qJK88uOiyrOorc0/zla9JbRlvu1mnSZlqjJlVFTOCFcHLTbKZwh5bGmousopePu24B7gA81rNoMHA1gZkPAQuDVHtTXtqgIZFaTJ6Oil3E1pVHzASmcNqdSNvWe06KXJzj26mNObBpVXH3MiaxeupJ5g7OzB/MGh1i9dGWL/aoTLUM6anhF5PKoyZVRUzghXBy02ymcIeWxpqJrJ6VzGLDX3beZ2TBwJvDFhs1uBz4O/D/gQuAuT/nT0duZLpl24qUesYwakNaqppDTMlvGLTuYSnmAehqnVUonwbHPPn0VrKdlSgdontJ524lN93t6YbgbtgCrjvtaZEqnnsZpltKZz4Utp3BCuMmV3U7hDCmPNRVdOymdk6nekB2k2rN+5O5Xm9nVwAZ3v70W3fwesIzqmf3F7v4fUcftdUonTj98IHgvBM3Wx8UuQ30QedRxm6xb41+Z3jUqHhkX+0vyoeBJ9s0jRSTTkySlE9vwQ0mz4WcRccyj4M0+KnaZIJbZ9fNCy3Vr/CuR8ch1IyORsb+ofeMad5J98yhUVFSaCxrL7AdF/0DwpFIZjxAXuwz1QeRRx41Yt/qkGyPjkXGxvyQfCp5k3zxSRLI4SvEBKEX+QPCkUhuPEBe7DPVB5N0ct7Zuwe7NTVeP7n6BnS1+NuqxvyQfCp5k3zxSRLI4SnGGX8QPBO+FVGfhxMUuk0Q+u33eLmuaHF4cG/tL8qHgSfbNI0Uki6MUDb9oHwieVCYTLuNil0kin90+bxs1tYpHxsX+knwoeJJ980gRyeIoxSWdIn0geFKZTbiMi10miXwmed6YmuYAO/7P/z0gLRP3QeRR0co4SfbNI33IeXGUIqVTFv0wzjgra578aNYliLQlSUqnFGf4/S4vjT5qTDEQOT45dt9uxYxs3v+8/8jI0KKOxu/e9+K1PLXtFpwKxgDvGvswK4+6HAibsy9ahj9URl/Z/86p4Rdcnpr9zDHFW16f5KqNvwCoNu7G8clemX58xzuXRu/brYjn5IMXHVDzzqkJ7t3yhenNZ2bLZ647fuws7nvxWsa3rd1/aCrTj//IT5iVs1+wezNnPv4ZgMSNuTHD38tjh9CY0W98HfN23H5Xipu2/ShvHz0YNaYYiByfHLtvt2JGNjd73nbH7z617Zamh35q2y1Bc/ZFy/BnMc5ZWtMZfgHlqdHXRY0pBiLHJ8fu262Ykc2tjh+VH6+v8xbDr51K0Jx90TL8WYxzltZ0hl8weWz2QOSYYiByfHLsvt2KGdnc6vjtjN+1Fn91jIGgOfuiZfizGOcsranhF0TeLuE0ihpTDESOT47dt1sxI5tbPe9n33tKbLb8XWMfbnrod419OGjOvmgZ/izGOUtruqRTAHlu9HX1m6stkzYR45PPrh2j5ymdmJHNUTU/vTM6W15P4zRL6fym9vQhkjRFy/BnOc5ZDqQcfs511exDjSEO+LxfuPUb3PTmrunPDbjooBE+e/6fBX/eKJ+6762RDUWxQMmCcvh9qOuz+sZxwTteqz6GsE0/wfN+4dZv8MM3d0Htc+8rUH186zfim36g7/eO58a5d8s9LWN/igVKEekafg4luoQTagxxwOe9aUazn2ZWXR7weaOseeK+yNifYoFSRGr4OZP4en2oMcQBn7dFeLLl8l49b5S4yKZigVJEavg50bMUTqgxxAGft9UPYVs/nIG+36jI5sz/tlovkkdq+DnQ0xROqDHEAZ/3ooNGoDE84F5dHvB5ozSLbM6M/SkWKEWkm7YZChK3DDWGOODzfvb8P4NuUzqBvt/GyGbjYDXFAqWIFMvMSBGy9U0liUBG7RsoWtnLKZwaoZwvZY3FKpZZIIVt9JAsAhm1LwSLVvZyCufqk25U088JxWK7o2v4KSp0s4dkEciofQNGK4NM4ZTMKRbbHTX8lBS+2UOyCGTUvilHK5NM4Vx90o1d7yu9o1hsd9TwA8v70LOOJIlARu2bcrQy6RRONf3sKRbbHTX8gPqm0dcliUBG7ZtitLInUzglc4rFdkc3bQPpu2YPySKQ7ewbOFrZy8/K1Q3cbCkW253Yhm9mRwPfBRZRfbf79e6+pmGb9wO3Ac/UFt3i7lf3ttTiaLfZJ4oMZjURM0FNd4yMsOboo5h4fbT6/Y6MTI9G5t3Lg9R/9ttO7LrB37F+HWueH2diwFhUcVYfcyJnnx74DWyUN27YqePHztLr0qF2zvCngL9x94fMbBTYaGY/d/dfN2x3r7uf0/sSi6OTs/pEkcE8TsSEyJp6HZEM7Y7167hq0zh7BqtXPbcMGldtGof1TDf9EGf5ihtKSLHX8N19i7s/VPt6EhgH8vl5ahnq9BJOoshgHidixtRUtIjkmufH2TMw+6/HnoEB1jw/PmtZr2/gKm4oIXV0Dd/MjgWWAQ80Wf27ZvYo8CLwt+7+ZJP9LwMuA1hyyCGd1ppL3V6rTxQZLNJEzNq6YB9UHsjEgHW0vFcUN5SQ2k7pmNl84Gbg0+6+o2H1Q8Db3P09wFeBW5sdw92vd/fl7r780NGEH1CdA0luzCaKDOZxImZMTcE+qDyQRZXmI0eaLe/lWb7ihhJSWw3fzOZQbfb/4u63NK539x3uvrP29Tpgjpkd2tNKc6QX2fpEkcE8TsSMqaloEcnVx5zIvMrsifzzKhVWHxP2foPihhJSOykdA74NjLv7l1tsswh4yd3dzFZQ/YfklZ5WmhO9ilsmigzmeSJmi3UhI5IhnH36KlhP2ymdXt3AVdxQQoqdlmlm/xm4F3ic/R9C9A/AMQDu/nUz+yTw51QTPbuBz7j7+qjjFnFaZl9m66VnlMuXNASdlunuvwIi71S5+3VA38YIgjX6PGbp4/zsJnj0fvAK2AC85zT44EVZV5ULejOW5J1GK8QI2ux/+qP9CZd6bv3XG8I8Xy/87CZ4ZH212UP1v4+sry4XQHN2JN/U8CMEvYSTVZY+iUfv72y5iOSKGn4Lwa/XZ5WlT8IrnS0vKZ3lS15peFqD1G7MLji4eXMPnaVPwgaaN3fTeYNIEehv6gyppnCyytIn8Z7TOlteYjrLlzxSwyejDyl593L40B/sP6NfcHD1cZ5TOh+8CE45ff8ZvQ1UHyul05SavuRN6S/pjF0yyK2Pz+NLd83nxe0DHLWwwt+dsZPzf2dP/M5JxY0EzmNsc8lx8B/j1ZpGF1Yf96s8vv4iCZT2DL9+Vn/r4/O4/CejvLB9EMd4Yfsgl/9klFsfnxd/kJDyGNvMY02h9Oh71Vm+5EkpG/7Myzdfums+u/fOfhl27x3gS3fNT7us2fIY28xjTaH08HtV05e8KF3Db7xW/+L25i9Bq+WpyWNsM481hVKm71VKozQNv9WN2aMWNs+Qt1qemqxGIEfJY02h9Ph71Vm+5EEpGn5UAufvztjJ8JzZzX14TvXGbabyGNvMY02hlOl7ldLo+4YfF7c8/3f2cO05kyxeuA/DWbxwH9eeM5lOSidKHmObeawplADfq87yJWux45FDSWM8ssYZl8Md69e1Pbf+ABlELzVRU5IIOh65iNToy+OO9eu4atM4ewarv6xuGTSu2jQO64lv+vXoZT2NU49eQn/+1iKl13eXdNTsy2XN8+PsGZj9Y7xnYIA1z4/H75xRzFSXdiQrfXOGr0ZfThMDzT+bp9XyWRS9lJLpizN8NfvyWlRpfg+q1fJZMoyZ6ixfslD4hq9mX26rjzmReZXZsdp5lQqrj2njw9Ezjl6q6UvaCntJR41eoHZjdj3dpXTqN2Y1IE1KopCxTDV76SeKaUonShPLVKMXEeleYa7hq9lLv9K1fElLIRq+mr30OzV9SUPuG76avYhIb+S24WfyObMiGdJZvoSWy4avRi8i0nuxDd/Mjjazu81s3MyeNLPVTbYxM/snM3vazB4zs/d2W5CavZSZzvIlpHZimVPA37j7Q2Y2Cmw0s5+7+69nbHMWcELtz38Cvlb7b9vU6JvIYHSvZG/1STcqmy9BxJ7hu/sWd3+o9vUkMA4sbtjsPOC7XnU/MGZmR7ZbhJp9E/XRvfVBXvXRvb/ekG1dIlJYHV3DN7NjgWXAAw2rFgObZjzezIH/KBxAN2YjZDS6V/JBl3YkhLYbvpnNB24GPu3uOxpXN9nlgJkNZnaZmW0wsw2vVjL+zNi80+heEemxthq+mc2h2uz/xd1vabLJZuDoGY+XAC82buTu17v7cndfftih87uptzwyHN0r+aCzfOm1dlI6BnwbGHf3L7fY7HbgD2tpndOA7e6+pYd1lk/Go3slH9T0pZfaSemsBD4GPG5mj9SW/QNwDIC7fx1YB6wCngZeB/6o96WWjEb3ikiPxTZ8d/8Vza/Rz9zGgb/sVVFS8+7lavCimKb0TC7faSsis+nSjvSCGr6ISEmo4YsUhM7yJSk1fBGRklDDFykQneVLEmr4IgWjpi/dUsMXESkJNXyRAtJZvnRDDV9EpCTU8EUKSmf50ik1fJECU9OXTqjhi4iUhBq+SMHpLF/apYYvIlISavgifUBn+VDjIcUAAAXJSURBVNIONXwRkZJQwxfpEzrLlzhq+CJ9RE1foqjhi4iUhBq+SJ/RWb60ooYv0ofU9KUZNXwRkZJQwxfpUzrLl0Zq+CJ9TE1fZlLDFxEpCTV8kT6ns3ypU8MXESkJNXyREtBZvkAbDd/M/oeZbTWzJ1qsf7+ZbTezR2p/rux9mSKSlJq+DLWxzXeA64DvRmxzr7uf05OKREQkiNgzfHf/JfBqCrWISGA6yy+3ds7w2/G7ZvYo8CLwt+7+ZLONzOwy4LLawzds5I+bXibK0KHAb7Muook81qWa2pPDmv44hzUBuXytclnTO7vd0dw9fiOzY4GfuPvSJusWABV332lmq4A17n5CG8fc4O7LOy85nDzWBPmsSzW1RzW1L4919VtNiVM67r7D3XfWvl4HzDGzQ5MeV0REeitxwzezRWZmta9X1I75StLjiohIb8Vewzez7wPvBw41s83A54A5AO7+deBC4M/NbArYDVzs7Vwnguu7LTqgPNYE+axLNbVHNbUvj3X1VU1tXcMXEZHi0zttRURKQg1fRKQkUmn4ZjZoZg+b2U+arJtrZj80s6fN7IFaBDTrmi41s5dnjIv4kxTqedbMHq8934Ym683M/qn2Oj1mZu8NXVObdaU+WsPMxsxsrZk9ZWbjZva7DetTf63aqCnV18nM3jnjuR4xsx1m9umGbVJ9ndqsKZNRLWb212b2pJk9YWbfN7N5DetT71Nt1NR5n3L34H+AzwD/i2qWv3HdXwBfr319MfDDHNR0KXBdGnXMeM5ngUMj1q8C7gQMOA14ICd1vb/Zaxi4phuAP6l9fRAwlvVr1UZNqb9OM557EJgA3pb169RGTVn8PC0GngGGa49/BFzasE2qfarNmjruU8HP8M1sCXA28K0Wm5xH9S8LwFrgA/WYZ4Y15dF5wHe96n5gzMyOzLqotFn1jX7vA74N4O5vuvu2hs1Sfa3arClLHwD+3d2fa1ie5c9Uq5qyMgQMm9kQ8BaqUwNmSr1PtVFTx9K4pPMV4O+BSov1i4FNAO4+BWwH3ppxTQAX1H7NXWtmRweuB8CBn5nZRquOoGg0/TrVbK4ty7ouqI3WMLM7zeykwPW8HXgZ+J+1S3LfMrORhm3Sfq3aqQnSfZ1muhj4fpPlWf1MQeuaIOXXyd1fAP478DywBdju7j9r2CzVPtVmTdBhnwra8M3sHGCru2+M2qzJsmBZ0TZr+jFwrLufDPyC/f+yh7TS3d8LnAX8pZm9r2F9qq/TDHF1PUT11/L3AF8Fbg1czxDwXuBr7r4M2AX8t4Zt0n6t2qkp7dcJADM7CDgXuKnZ6ibLgv9MxdSU+utkZgdTPYM/DjgKGDGzjzZu1mTXkH2qnZo67lOhz/BXAuea2bPAD4AzzKxxXN9m4GiA2q8uCwk7nTO2Jnd/xd3fqD38JnBqwHrqz/li7b9bgf8NrGjYZPp1qllCD37FS1qXpz9aYzOw2d0fqD1eS7XZNm6T5msVW1MGr1PdWcBD7v5Sk3WZ/ExF1ZTR63Qm8Iy7v+zue4FbgNMbtkm7T8XW1E2fCtrw3f1yd1/i7sdS/RXuLndv/FfqduDjta8vrG0T7F/OdmpquI55LjAeqp7a842Y2Wj9a+CDQOMk0duBP6wlK06j+ivelqzrspRHa7j7BLDJzOoTAz8A/Lphs1Rfq3ZqSvt1muG/0vrSSeo/U3E1ZfQ6PQ+cZmZvqT33Bzjw73yqfaqdmrrqUyHvNDfcUX4/tbvvwNXAubWv51H91e5p4EHg7Tmo6VrgSeBR4G7gXYHreHvtuR6tPe8VteWfAD5R+9qAfwb+HXgcWJ7C69NOXZ+c8VrdD5yeQl2nABuAx6j+yn9wDl6ruJqyeJ3eQrVZLpyxLOvXKa6m1F+n2vN+HniK6gnN94C5WfepNmrquE9ptIKISEnonbYiIiWhhi8iUhJq+CIiJaGGLyJSEmr4IiIloYYvIlISavgiIiXx/wFT3ZM5uvxUWAAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plot_decision_boundary(log_reg2, axis=[4,8.5,1.5,4.5])\n",
    "plt.scatter(X[y==0,0], X[y==0,1])\n",
    "plt.scatter(X[y==1,0], X[y==1,1])\n",
    "plt.scatter(X[y==2,0], X[y==2,1])\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "## 使用所有数据"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = iris.data\n",
    "y = iris.target\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n                   intercept_scaling=1, l1_ratio=None, max_iter=100,\n                   multi_class='warn', n_jobs=None, penalty='l2',\n                   random_state=None, solver='warn', tol=0.0001, verbose=0,\n                   warm_start=False)"
     },
     "metadata": {},
     "execution_count": 13
    }
   ],
   "source": [
    "log_reg = LogisticRegression()\n",
    "log_reg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.9473684210526315"
     },
     "metadata": {},
     "execution_count": 14
    }
   ],
   "source": [
    "log_reg.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "1.0"
     },
     "metadata": {},
     "execution_count": 16
    }
   ],
   "source": [
    "log_reg2 = LogisticRegression(multi_class=\"multinomial\", solver=\"newton-cg\")\n",
    "log_reg2.fit(X_train, y_train)\n",
    "log_reg2.score(X_test, y_test)"
   ]
  },
  {
   "source": [
    "## sklearn 中的 OvO and OvR"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.9473684210526315"
     },
     "metadata": {},
     "execution_count": 17
    }
   ],
   "source": [
    "from sklearn.multiclass import OneVsRestClassifier\n",
    "\n",
    "ovr = OneVsRestClassifier(log_reg)\n",
    "ovr.fit(X_train, y_train)\n",
    "ovr.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "1.0"
     },
     "metadata": {},
     "execution_count": 18
    }
   ],
   "source": [
    "from sklearn.multiclass import OneVsOneClassifier\n",
    "\n",
    "ovo = OneVsOneClassifier(log_reg)\n",
    "ovo.fit(X_train, y_train)\n",
    "ovo.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}